{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "764bfcf9-9c4c-4073-9de5-29aa4d499613",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a    0\n",
      "b    1\n",
      "a    2\n",
      "d    3\n",
      "e    4\n",
      "f    5\n",
      "g    6\n",
      "dtype: int64\n",
      "================================================================\n"
     ]
    },
    {
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       "    a    b    c     y     z\n",
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    {
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     "text": [
      "--------------------------------------------------\n",
      "原始数据为:\n",
      " [[ 1. -1.  2.]\n",
      " [ 2.  0.  0.]\n",
      " [ 0.  1. -1.]]\n",
      "标准化后矩阵为：\n",
      " [[0.66666667 0.         1.        ]\n",
      " [1.         0.33333333 0.33333333]\n",
      " [0.33333333 0.66666667 0.        ]]\n",
      "----------------------------------------------------------\n"
     ]
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "     0  1\n",
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      "--------------------------------\n"
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       "     0  1\n",
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     "text": [
      "--------------------------------\n",
      "原始数据为：\n",
      " [[ 1. -1.  2.]\n",
      " [ 2.  0.  0.]\n",
      " [ 0.  1. -1.]]\n",
      "标准化后矩阵为\n",
      " [[ 0.52128604 -1.35534369  1.4596009 ]\n",
      " [ 1.4596009  -0.41702883 -0.41702883]\n",
      " [-0.41702883  0.52128604 -1.35534369]]\n",
      "--------------------------------\n"
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "s1 = pd.Series([0, 1], index=['a', 'b'])\n",
    "s2 = pd.Series([2, 3, 4], index=['a', 'd', 'e'])\n",
    "s3 = pd.Series([5, 6], index=['f', 'g'])\n",
    "print(pd.concat([s1, s2, s3]))\n",
    "\n",
    "print('================================================================')\n",
    "from IPython.display import display\n",
    "\n",
    "data1 = pd.DataFrame(np.arange(6).reshape(2, 3), columns=list('abc'))\n",
    "data2 = pd.DataFrame(np.arange(20, 26).reshape(2, 3), columns=list('ayz'))\n",
    "data = pd.concat([data1, data2], axis=0)\n",
    "display(data1, data2, data)\n",
    "\n",
    "print(\"--------------------------------------------------\")\n",
    "\n",
    "\n",
    "def MinMaxScale(data):\n",
    "    data = (data - data.min()) / (data.max() - data.min())\n",
    "    return data\n",
    "\n",
    "\n",
    "x = np.array([[1., -1., 2.], [2., 0., 0., ], [0., 1., -1.]])\n",
    "print('原始数据为:\\n', x)\n",
    "x_scaled = MinMaxScale(x)\n",
    "print('标准化后矩阵为：\\n', x_scaled, end='\\n')\n",
    "\n",
    "print('----------------------------------------------------------')\n",
    "import pywt\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "img = cv.imread(\"1.png\")\n",
    "img = cv.resize(img, (448, 448))\n",
    "# 将多通道图像转换为单通道图像\n",
    "img = cv.cvtColor(img, cv.COLOR_BGR2GRAY).astype(np.float32)\n",
    "plt.figure(('二维小波一级变换'))\n",
    "coeffs = pywt.dwt2(img, 'haar')\n",
    "cA, (cH, cV, cD) = coeffs\n",
    "# 将各子图进行拼接，最后得到一幅图\n",
    "AH = np.concatenate([cA, cH + 255], axis=1)\n",
    "VD = np.concatenate([cV + 255, cD + 255], axis=1)\n",
    "img = np.concatenate([AH, VD], axis=0)\n",
    "# 显示为灰度图\n",
    "plt.axis('off')\n",
    "plt.imshow(img, 'gray')\n",
    "plt.title('result')\n",
    "plt.show()\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from IPython.core.display_functions import display\n",
    "\n",
    "# 创建Series对象\n",
    "s1 = pd.Series([0, 1], index=['a', 'b'])\n",
    "s2 = pd.Series([2, 3, 4], index=['a', 'd', 'e'])\n",
    "s3 = pd.Series([5, 6], index=['f', 'g'])\n",
    "# 合并s1乘以5和s3\n",
    "s4 = pd.concat([s1 * 5, s3], sort=False)\n",
    "# 按列合并s1和s4\n",
    "s5 = pd.concat([s1, s4], axis=1, sort=False)\n",
    "# 按列合并s1和s4，只有索引匹配的部分\n",
    "s6 = pd.concat([s1, s4], axis=1, join='inner', sort=False)\n",
    "# 显示结果\n",
    "display(s5, s6)\n",
    "print(\"--------------------------------\")\n",
    "display(s6.combine_first(s5))\n",
    "print(\"--------------------------------\")\n",
    "\n",
    "\n",
    "def StandardScale(data):\n",
    "    data = (data - data.mean()) / data.std()\n",
    "    return data\n",
    "\n",
    "\n",
    "x = np.array([[1., -1., 2.], [2., 0., 0.], [0., 1., -1.]])\n",
    "print('原始数据为：\\n', x)\n",
    "x_scaled = StandardScale(x)\n",
    "print('标准化后矩阵为\\n', x_scaled, end='\\n')\n",
    "print(\"--------------------------------\")\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "data = load_iris()\n",
    "y = data.target\n",
    "x = data.data\n",
    "pca = PCA(n_components=2)\n",
    "reduced_x = pca.fit_transform(x)\n",
    "red_x, red_y = [], []\n",
    "bule_x, bule_y = [], []\n",
    "green_x, green_y = [], []\n",
    "for i in range(len(reduced_x)):\n",
    "    if y[i] == 0:\n",
    "        red_x.append(reduced_x[i][0])\n",
    "        red_y.append(reduced_x[i][1])\n",
    "    elif y[i] == 1:\n",
    "        bule_x.append(reduced_x[i][0])\n",
    "        bule_y.append(reduced_x[i][1])\n",
    "    else:\n",
    "        green_x.append(reduced_x[i][0])\n",
    "        green_y.append(reduced_x[i][1])\n",
    "plt.scatter(red_x, red_y, c='r', marker='x')\n",
    "plt.scatter(bule_x, bule_y, c='b', marker='D')\n",
    "plt.scatter(green_x, green_y, c='g', marker='.')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ffe02df7-9fe5-4abe-b46c-7d1313619324",
   "metadata": {},
   "outputs": [],
   "source": []
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  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cb777f76-7582-4627-b984-1535e201235a",
   "metadata": {},
   "outputs": [],
   "source": []
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  {
   "cell_type": "code",
   "execution_count": null,
   "id": "67ed5fd5-fb47-44f8-a5aa-e1666c995508",
   "metadata": {},
   "outputs": [],
   "source": []
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